4. Inertial Forces and D’Alembert’s Principle

Try these first

1. 1.

   What is the formula for calculating inertial force?

   Hint

   Think about how mass and acceleration relate to forces.

2. 2.

   Define D'Alembert's Principle.

   Hint

   What does it allow us to do in dynamics?

3. 3.

   What does D’Alembert's principle help to analyze?

   • Static forces
   • Dynamic systems
   • Thermal systems

   Hint

   Remember the context of forces in motion.

4. 4.

   True or False: Tangential forces enhance an object’s acceleration in circular motion.

   • True
   • False

   Hint

   Consider how speed changes with these forces.

5. 5.

   A pendulum of mass 2 kg swings with an angular acceleration of 1.5 rad/s². Calculate the resulting tangential force acting on the pendulum bob.

   Hint

   Use the length of the pendulum as the radius.

6. 6.

   A slider-crank mechanism has a crank radius of 0.75 m and an angular velocity of 4 rad/s. Determine the centripetal force for a mass of 3 kg moving in a circle.

   Hint

   Make sure to square the angular velocity before multiplying.